The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  3  3  1  1  1  3  3
 0  3  0  0 24 21 15  3 24  9  3 21  6 21 18 18 24 24 21 15  3  9 15  9  0  3 24  9 15 21 18 15 21 12 24 18 18  9 21 15  3 18  6 21 24
 0  0  3 24  9  6 21  3  6 18  3 18 12 15  3 24 24 18  6 18  0  6 21  0 21 12 24 21  3  0  0  9  9  3 21 24 24  3  6  3 15 15  6 18 18
 0  0  0  9  0  0 18  9 18 18 18  9  9  9 18 18  0 18 18  9 18  0  0  9  9  0  9  0  9  0  0  0  0  0 18  0 18 18  9  9 18  9  0 18  9

generates a code of length 45 over Z27 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+492x^84+324x^86+798x^87+1296x^89+1334x^90+1296x^92+558x^93+210x^96+184x^99+66x^102+2x^117

The gray image is a code over GF(3) with n=405, k=8 and d=252.
This code was found by Heurico 1.16 in 8.1 seconds.